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What is the value of the expression below? (8^5/3)^1/5
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What is the value of the expression below? (8^5/3)^1/5

User Erdi Aker
by
3.8k points

2 Answers

3 votes

Answer:

8^1/3

Explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

User Giorgos Kartalis
by
4.4k points
5 votes

Answer:

Explanation:

Exponent Rule:
(a^(m))^(n)=a^(m*n)


(8^{(5)/(3)})^{(1)/(5)}= 8^{(5)/(3)}*{(1)/(5)}\\\\\\=8^{(1)/(3)}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2

User Misch
by
4.1k points
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